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The easiest way is through prime factorization.

Example: 1/30 and 1/42

The lowest common denominator in this case is the LCM of 30 and 42.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

2 x 3 x 5 x 7 = 210, the LCM and the lowest common denominator.

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Q: How do you get the lowest common denominator?
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